Get Advances in Doublet Mechanics PDF

By Mauro Ferrari, Vladimir T. Granik, Ali Imam, Joseph C. Nadeau

ISBN-10: 3540620613

ISBN-13: 9783540620617

The lately proposed, absolutely multi-scale idea of doublet mechanics, offered right here in a self-contained shape, bargains unprecented possibilities to reconcile the discrete and continuum representations of solids whereas retaining an easy analytical structure and entire compatibility with lattice dynamics and continuum mechanics. Its purposes contain micro-electro-mechanical structures (MEMS), granular and particulate media, nanotubes and peptide arrays. Novel effects are mentioned, together with the id of a brand new type of dispersive floor waves, and the presentation of equipment for the experimental selection of the basic microstructural parameters. The relationships among doublet mechanics, lattice dynamics, and continuum theories are tested.

Show description

Read Online or Download Advances in Doublet Mechanics PDF

Similar geophysics books

Download e-book for kindle: Environmental Effects on Spacecraft Positioning and by A. Vallance Jones

Concerning the ProductPublished by way of the yank Geophysical Union as a part of the Geophysical Monograph sequence. This e-book combines a presentation of the outstanding growth that has been made in recommendations for making a choice on the precise positions of satellites, with an account of the elemental technological know-how of the atmospheric surroundings affecting either satellite tv for pc trajectories and place measurements.

Download e-book for iPad: Imaging, modeling and assimilation in seismology by Yong-Gang Li

This paintings offers present ways in geophysical study of earthquakes. a world authorship from most sensible associations offers case reviews to version, degree, andmonitor earthquakes. between others afull-3D waveform tomography technique is brought, in addition to propagator tools for modeling and imaging.

Mainak Choudhuri, Michal Nemčok's Mantle Plumes and Their Effects PDF

This booklet offers a quick synopsis of the present educational knowing of the plume speculation, its floor manifestations and its shortcomings. It additionally describes equipment for estimating the uplift background of a sector as a result of plume task. It discusses assorted versions for the elastic houses of the lithosphere and their estimation as a history for plume emplacement, and introduces the plume speculation, describing the foremost plume kinds and their impact at the lithosphere.

Additional resources for Advances in Doublet Mechanics

Example text

Granik and A. Imam) As discussed in Sect. 3, doublet mechanical analysis has been applied to crystalline solids, as well as granular, particulate, and composite media in the past. An exciting novel vista on the applications of the method is offered in Chap. 10 where Chopra and Zettl review the field of nanotubes. Nanotubes are technological objects of extraordinary interest. They are particularly suitable for doublet mechanical analysis because their discrete nature is evident at the structural scale and, as a result, they are not amenable to being modeled as continuous media.

Substituting /::::"u o from eqn. 5) into eqn. 11) and using eqns. , xk 1 ' ••• ,Xk". Each subscript of the set k1 , ••• ,kx runs through the integers 1,2,3. It should be noted that the elongation microstrain fa of the doublet (A, B o ) is caused by the motion of the node bo E B o away from node a E A along the vector To. Therefore, this microstrain can be conveniently represented as €o = fa To. In the above discussion, it was assumed that 1/::::"Ua 1« "10 and fa « 1. , tPo « 1 (see Fig. 4). 13) where foj == fa T~j.

Structures have the valence n = 3 and n = 6, respectively (see Figs. 3). The FCCS is also called pyramidal. For Bravais lattices the bundle Tm (a) admits a decomposition into two disjoint subsets T: (a) and T; (a) which are equivalent via the center of r. 4 Microstructure, Measures of Deformations, Field Equations A Fig. 1. Particle doublet (A, B cr ). A-A Fig. 2. Simple cubic structure (SCS). 15 16 1. Introduction (M. Ferrari, V. T. Granik and A. Imam) B-B Fig. 3. Face-centered cubic structure (FCCS).

Download PDF sample

Advances in Doublet Mechanics by Mauro Ferrari, Vladimir T. Granik, Ali Imam, Joseph C. Nadeau


by Christopher
4.4

Rated 4.38 of 5 – based on 46 votes